Question
At 3:40, the hour hand and the minute hand of a clock form an angle of:
Answer: Option C
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Angle traced by hour hand in 12 hrs. = 360°.
Angle traced by it in\(\frac{11}{3}hrs = \left(\frac{360}{12}\times\frac{11}{3}\right)^{0}=110^{0}.\)
Angle traced by minute hand in 60 min. = 360°.
Angle traced by it in 40 min. = \(\left(\frac{360}{60}\times40\right)^{0}=240^{0}. \)
So, Required angle (240 - 110)° = 130°.
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